Program to calculate volume of Ellipsoid

Ellipsoid, closed surface of which all plane cross sections are either ellipses or circles. An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the center. It is a three-dimensional, closed geometric shape, all planar sections of which are ellipses or circles.

An ellipsoid has three independent axes, and is usually specified by the lengths a, b, c of the three semi-axes. If an ellipsoid is made by rotating an ellipse about one of its axes, then two axes of the ellipsoid are the same, and it is called an ellipsoid of revolution, or spheroid. If the lengths of all three of its axes are the same, it is a sphere.

  • Standard equation of Ellipsoid :
x2 / a2 + y2 / b2 + z2 / c2 = 1
   
where a, b, c are positive real numbers.
    • 

  • Volume of Ellipsoid :  (4/3) * pi * r1 * r2 * r3 
    •



    Below is code for calculating volume of ellipsoid :

    C++

    filter_none

    edit
    close

    play_arrow

    link
    brightness_4
    code

    // CPP program to find the 
    // volume of Ellipsoid.
    #include <bits/stdc++.h>
    using namespace std;
      
    // Function to find the volume
    float volumeOfEllipsoid(float r1, 
                            float r2, 
                            float r3)
    {
        float pi = 3.14;
        return 1.33 * pi * r1 *
                      r2 * r3;
    }
      
    // Driver Code
    int main()
    {
        float r1 = 2.3, r2 = 3.4, r3 = 5.7;
        cout << "volume of ellipsoid is : "
             << volumeOfEllipsoid(r1, r2, r3);
        return 0;
    }

    chevron_right

    

    

    
                        filter_none
    

    

    

    


    Java
    

    


    

    

    

    

    
                                    filter_none
    

    

                                        edit
    
                                    close
    

    

                                        play_arrow
    

    

                                        link
    
                                    brightness_4
    
                                    code
                                
    

    

    

    

    

    

    


    


    

    // Java program to find the 
    

    // volume of Ellipsoid. 
    

    import java.util.*; 
    

    import java.lang.*; 
    

      
    

    class GfG 
    

    { 
    

          
    

        // Function to find the volume 
    

        public static float volumeOfEllipsoid(float r1, 
    

                                              float r2,  
    

                                              float r3) 
    

        { 
    

            float pi = (float)3.14; 
    

            return (float) 1.33 * pi * r1 * r2 * r3; 
    

        } 
    

      
    

        // Driver Code 
    

        public static void main(String args[]) 
    

        { 
    

            float r1 = (float) 2.3,  
    

                  r2 = (float) 3.4, 
    

                  r3 = (float) 5.7; 
    

            System.out.println("volume of ellipsoid is : "
    

                        + volumeOfEllipsoid(r1, r2, r3)); 
    

        } 
    

    } 
    

      
    

    // This code is contributed by Sagar Shukla  
    

    
    		

    
    

    

    

    

    

    

    
                        chevron_right
    

    

    

    
                        filter_none
    

    

    

    


    Python
    

    


    

    

    

    

    
                                    filter_none
    

    

                                        edit
    
                                    close
    

    

                                        play_arrow
    

    

                                        link
    
                                    brightness_4
    
                                    code
                                
    

    

    

    

    

    

    


    


    

       
    

    ''' Python3 program to Volume of ellipsoid'''
    

    import math 
    

      
    

    # Function To calculate Volume 
    

    def volumeOfEllipsoid(r1, r2, r3): 
    

        return 1.33 * math.pi * r1 * r2 * r3 
    

      
    

      
    

    # Driver Code 
    

    r1 = float(2.3) 
    

    r2 = float(3.4) 
    

    r3 = float(5.7) 
    

    print( "Volume of ellipsoid is : ", 
    

            volumeOfEllipsoid(r1, r2, r3) ) 
    

    
    		

    
    

    

    

    

    

    

    
                        chevron_right
    

    

    

    
                        filter_none
    

    

    

    


    C#
    

    


    

    

    

    

    
                                    filter_none
    

    

                                        edit
    
                                    close
    

    

                                        play_arrow
    

    

                                        link
    
                                    brightness_4
    
                                    code
                                
    

    

    

    

    

    

    


    


    

    // C# program to find the 
    

    // volume of Ellipsoid. 
    

    using System; 
    

      
    

    class GfG 
    

    { 
    

          
    

        // Function to find the volume 
    

        public static float volumeOfEllipsoid(float r1, 
    

                                                float r2,  
    

                                                float r3) 
    

        { 
    

            float pi = (float)3.14; 
    

            return (float) 1.33 * pi * r1 * r2 * r3; 
    

        } 
    

      
    

        // Driver Code 
    

        public static void Main() 
    

        { 
    

            float r1 = (float)2.3,  
    

                r2 =(float) 3.4, 
    

                r3 = (float)5.7; 
    

            Console.WriteLine("volume of ellipsoid is : " +  
    

                            volumeOfEllipsoid(r1, r2, r3)); 
    

        } 
    

    } 
    

      
    

    // This code is contributed by vt_m  
    

    
    		

    
    

    

    

    

    

    

    
                        chevron_right
    

    

    

    
                        filter_none
    

    

    

    


    PHP
    

    


    

    

    

    

    
                                    filter_none
    

    

                                        edit
    
                                    close
    

    

                                        play_arrow
    

    

                                        link
    
                                    brightness_4
    
                                    code
                                
    

    

    

    

    

    

    


    


    

    <?php 
    

    // PHP program to find the 
    

    // volume of Ellipsoid. 
    

      
    

      
    

    // Function to find the volume 
    

    function volumeOfEllipsoid( $r1,  
    

                                $r2,  
    

                                $r3) 
    

    { 
    

        $pi = 3.14; 
    

        return 1.33 * $pi * $r1 *  
    

                      $r2 * $r3; 
    

    } 
    

      
    

    // Driver Code 
    

      
    

        $r1 = 2.3; $r2 = 3.4;  
    

        $r3 = 5.7; 
    

        echo ( "volume of ellipsoid is : "); 
    

        echo( volumeOfEllipsoid($r1, $r2, $r3)); 
    

          
    

      
    

    // This code is contributed by vt_m . 
    

    ?> 
    

    
    		

    
    

    

    

    

    

    

    
                        chevron_right
    

    

    

    
                        filter_none
    

    

    

    


    
Output :
    

    Volume of ellipsoid is : 186.15

    

    
          
          
          
    
          
    
    
    
        My Personal Notes
        arrow_drop_up
    
    
    
    
        
        
    
            
            
        
    
    
    

    Recommended Posts:
    anuragrawat1
    Check out this Author's contributed articles.
    If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
    Please Improve this article if you find anything incorrect by clicking on  the "Improve Article" button below.


    Improved By :  vt_m